Majorana bound state manipulation by current pulses

Martijn Lankhorst*, Thies Jansen, Alexander Brinkman, Alexander Golubov

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Majorana bound states (MBSs) can occur in Josephson junctions of conventional s-wave superconductors coupled via a strong topological insulator. In configurations of multiple line junctions meeting at a point, the criterion for the MBS to exist coincides with the presence of a fractional Josephson vortex with 2π phase winding. We investigate the dynamic stability of such vortices in arrays of tri- and quad-junctions. The existence of fractional vortices in arrays is demonstrated, but the dynamic stability is found to depend critically on the current-phase relation and the inductance. We propose the idea, and study the feasibility, of manipulating the location of the vortices in arrays by using current pulses, compatible with rapid single flux quantum technology. It is shown theoretically, using a modified resistively shunted junction model, that braiding operations can be achieved using current pulses injected from the edge of the array. It is necessary to use vortex sites with elevated critical current as traps.

Original languageEnglish
Article number035024
JournalSuperconductor science and technology
Volume34
Issue number3
DOIs
Publication statusPublished - Mar 2021

Keywords

  • UT-Hybrid-D
  • Josephson vortex
  • rapid single flux quantum
  • topological quantum computing
  • topological superconductivity
  • Josephson junction array

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